Question 82

By increasing the price of entry ticket to a fair in the ratio 13:16, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

Solution

Let cost of original ticket = Rs 13 and and number of visitors = 110

=> Original revenue = 13 $$\times$$ 110 = Rs 1430

After increase in cost of ticket

New cost of ticket = Rs 16 and number of visitors = 90

=> New Revenue = 16 $$\times$$ 90 = Rs 1440

Since, new revenue is greater than original revenue, thus total collection has increased.

$$\therefore$$ Increase of total collection ratio = $$\frac{1430}{1440}$$ = 143 : 144


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